共查询到20条相似文献,搜索用时 78 毫秒
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本文讨论了非卷积型Volterra微分积分方程的概周期解存在性.改进了Hino的一个概周期解存在性定理,并且证明了Hino等人的定理[1]中的条件H2是多余的。 相似文献
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本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果.应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果.推广了已有的结果. 相似文献
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广型Lienard方程概周期解的存在性冯春华(广西师大数学系桂林541004)关键词:Leray-Schauder不动点定理;Li nard方程;概周期解AMS(1991)主题分类:34C27本文研究微分方程x+f(x)k(x)x十g(x)h(x)一... 相似文献
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运用锥上的不动点定理,研究一类脉冲时滞微分方程的概周期解,得到了保证系统存在概周期解的一组充分条件。 相似文献
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积分方程解的性态是积分理论中一个重要而又基本的问题.其中关于方程的周期解、概周期型解的存在性问题更是具有重要的理论意义和应用价值.已有文献中,有的延迟是常数,而有的延迟虽为函数,但对延迟做了是概周期函数的假设.本文在某些延迟积分方程的概周期解的存在性的基础上,并利用渐近概周期函数的定义和不动点理论,讨论了一类延迟是渐近概周期函数的积分方程的渐近概周期解的存在性. 相似文献
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强迫Lienard方程的概周期解 总被引:5,自引:0,他引:5
王克 《数学年刊A辑(中文版)》1995,(4)
本文利用非临界线性系统理论和Sohauder不动点定理,研究了强迫Lienard方程x"+f(x)x'+g(t,x)=E(t)的概周期的存在性和唯一性问题,得到了新的结果. 相似文献
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We obtain new gauge-invariant forms of two-dimensional integrable systems of nonlinear equations: the Sawada-Kotera and Kaup-Kuperschmidt
system, the generalized system of dispersive long waves, and the Nizhnik-Veselov-Novikov system. We show how these forms imply
both new and well-known twodimensional integrable nonlinear equations: the Sawada-Kotera equation, Kaup-Kuperschmidt equation,
dispersive long-wave system, Nizhnik-Veselov-Novikov equation, and modified Nizhnik-Veselov-Novikov equation. We consider
Miura-type transformations between nonlinear equations in different gauges.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 1, pp. 35–48, July, 2009. 相似文献
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Abstract In [1], Ding et al. studied the nonhomogeneous Burgers equation ut uux = μuxx 4x.(1.1) This paper will prove that when μ → 0 the solution of (1.1) will approach the generalized solution of ut uux = 4x.(1.2) The authors notice that the equation (1.2) is beyond the scope of investigations by Oleinik O. in [2]. The solutions here are unbounded in general. The paper also studies the δ-wave phenomenon when (1.2) is jointed with some other equation. 相似文献
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We give a substantially simplified proof of the near-optimal estimate on the Kuramoto-Sivashinsky equation from a previous paper of the third author, at the same time slightly improving the result. That result relied on two ingredients: a regularity estimate for capillary Burgers and an a novel priori estimate for the inhomogeneous inviscid Burgers equation, which works out that in many ways the conservative transport nonlinearity acts as a coercive term. It is the proof of the second ingredient that we substantially simplify by proving a modified Kármán-Howarth-Monin identity for solutions of the inhomogeneous inviscid Burgers equation. We show that this provides a new interpretation of recent results obtained by Golse and Perthame. 相似文献
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1IntroductionUnique continuation of solutions to the linear partial di?erential equations with analyticcoe?cients is well known.There are more general results in elliptic,parabolic and hyperbolicequations(cf.[8-10,12-13]and references therein).The continu… 相似文献
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Martina Chirilus-Bruckner Wolf-Patrick Düll Guido Schneider 《Journal of Mathematical Analysis and Applications》2014
Bethuel et al. and and Chiron and Rousset [3] gave very nice proofs of the fact that slow modulations in time and space of periodic wave trains of the NLS equation can approximately be described via solutions of the KdV equation associated with the wave train. Here we give a much shorter proof of a slightly weaker result avoiding the very detailed and fine analysis of , and . Our error estimates are based on a suitable choice of polar coordinates, a Cauchy–Kowalevskaya-like method, and energy estimates. 相似文献
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New oscillation and nonoscillation criteria are established for the equation
,where p :]1,+[ R is the locally integrable function. These criteria generalize and complement the well known criteria of E. Hille, Z. Nehari, A. Wintner, and P. Hartman. 相似文献